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1896084 = 2232311699
BaseRepresentation
bin111001110111010010100
310120022221100
413032322110
5441133314
6104350100
722054641
oct7167224
93508840
101896084
111085613
12775330
13515058
14374dc8
15276c09
hex1cee94

1896084 has 36 divisors (see below), whose sum is σ = 4950400. Its totient is φ = 611280.

The previous prime is 1896077. The next prime is 1896091. The reversal of 1896084 is 4806981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1896077) and next prime (1896091).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 1965.

21896084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1896084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475200).

1896084 is an abundant number, since it is smaller than the sum of its proper divisors (3054316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1896084 is a wasteful number, since it uses less digits than its factorization.

1896084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1896084 is about 1376.9836600338. The cubic root of 1896084 is about 123.7710830317.

It can be divided in two parts, 18960 and 84, that added together give a square (19044 = 1382).

The spelling of 1896084 in words is "one million, eight hundred ninety-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1699 3398 5097 6796 10194 15291 20388 30582 52669 61164 105338 158007 210676 316014 474021 632028 948042 1896084